Curated OER
Interpreting Algebraic Expressions
Interpreting algebraic expressions is a fundamental skill in beginning algebra. This lesson approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between words and...
Curated OER
Algebraic Relationships
Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Curated OER
Express Whole Numbers as Fractions
Show examples of fractions in the real world to help scholars grasp this complex concept. Because there is only one word problem here with an answer detailed below, this is ideal as an all-class warm up. Learners examine an image of a...
Utah Education Network (UEN)
Expressions and Equations
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
Curated OER
The Distributive Property
MIddle schoolers use the distributive property to combine terms in six expressions. They write nine expressions in simplest form. Young scholars perform one mental math problem, describing how they would solve the multiplication mentally.
Curated OER
SOL Mini-Challenge
Fourteen multiple choice questions, and all your class needs to do is determine the answers. They analyze each expression and select which of the 4 other expressions is equivalent to the first one. A great way to find out who needs a...
Curated OER
Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...
Under the Dome
Consecutive Number Sums
Determine equivalent methods to find sums of consecutive numbers. Learners watch a video of a computer program that finds the sum of five consecutive numbers given a starting number. Pupils hypothesize how to determine the sum without...
EngageNY
The Relationship of Multiplication and Addition
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
Illustrative Mathematics
Extending the Definitions of Exponents, Variation 1
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
Curated OER
Ratios and Equivalent Ratios
In this equivalent ratios learning exercise, students simplify 6 ratios and write each in 2 different ways. Students solve 8 proportional equations using equivalent ratios to find a missing term. Students solve 2 test prep questions...
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
EngageNY
Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
Flipped Math
Algebraic Properties
Properly apply properties to arrive at equivalent expressions. Pupils review the main properties of equivalence with the guidance from the video. They take the knowledge from the video and apply the properties within the instruction and...
Curated OER
Properties of Logarithms Applied to Expressions
For this algebra worksheet, learners apply various properties of logarithms to transform and evaluate logarithmic expressions. There are four questions.
Scholastic
Number Soup
Learners identify the right number "ingredients" to add to their pot of "soup" given a rule that you provide. Whether you are covering even and odd numbers or equivalent expressions, the number soup can be an easy way for learners to...
Concord Consortium
Petit Fours
Four 4s represent the counting numbers. Pupils attempt to write equivalent expressions to as many counting numbers as possible using only four 4s. Scholars then determine whether the same feat is possible using only three 3s.
Utah Education Network (UEN)
Fluency
Become fluent in the language of mathematics. Scholars learn to divide multi-digit whole numbers as well as see how to determine the greatest common factor and least common multiple. They also investigate how to apply the distributive...
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Read Expressions in Which Letters Stand for Numbers II
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...